I have been implementing simple 3D engine in OpenGL, mostly based on tutorials by Tom Dalling. I have implemented the Phong lightening model as described in his tutorial, but I see light artifacts on concave shaped objects (and also when using normal mapping). I came to a point, where i don´t know if my code is broken, or this is actually normal behaviour, and you need special handling for it.
I think that these artifacts could be happening, because the normals of concave object at same points head back into the point light source, not actually considering there is a solid object in between. I tried to do a little scetch of this situation in 2D (for diffuse component): 
So I need to know, if this is a common problem of this light model, or my calculations are wrong.